math pacing dividing rational numbers 1. 2. 3. note: for this problem, 2 × 3 is considered...
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Dividing Rational Numbersxybc 2812
4.53.05.18 2
1.
2.
3.
Note: For this problem, 2 × 3 is considered different from 3 × 2
Dividing Rational Numbers
Since multiplication and division are inverse operations, the rule for finding the sign of the quotient of two numbers is similar to the rule for finding the sign of a product of two numbers.
Dividing Rational Numbers
Dividing Numbers with the Same Sign
The quotient of two numbers with the same sign is positive.
Examples:
43124312
Dividing Rational Numbers
Dividing Numbers with Different Signs
The quotient of two numbers with different signs is negative.
Examples:
34123412
Find .
Answer: positive quotient
Divide Integers
Find .
Divide.
negative quotientAnswer:
Divide Integers
Find each quotient.
a.
b.
Answer: 20
Answer: –15
Divide Integers
Simplify
Simplify the numerator first.
Multiply.
Answer: different signs negative quotient
Simplify Before Dividing
Simplify
Answer: 3
Simplify Before Dividing
Dividing Rational Numbers
The rules for dividing positive and negative integers also apply to division with rational numbers.
Find .
Answer: Use a calculator.different signs negative quotient
Divide Rational Numbers
Estimate: – 108 ÷ 9 = – 12
Dividing Rational Numbers
Remember that to divide by any nonzero number, multiply by the reciprocal of that number.
Find .
Answer: same signs positive quotient
Divide Rational Numbers
No calculator!!
Multiply by the reciprocal
of
–
Find each quotient.
a.
b.
Answer: 15.3
Answer:
Divide Rational Numbers
Page 86 #18 – 36 even (10 problems – 10 points)
Dividing Rational Numbers
4
65 6.5
Baseball The perimeter of a square baseball diamond is 360 feet. Find the length of one side of the diamond.
To find the length of one side, divide the perimeter by the number of sides.
same signs positive quotient
Answer: The length of one side is 90 feet.
Divide Rational Numbers
The perimeter of a triangular building is 450 feet. Find the length of each side.
Answer: 150 feet
Divide Rational Numbers
You can use the Distributive Property to simplify fractional expressions.
Simplify
The fraction bar indicates division.
Multiply by
the reciprocal of 13.
Simplify Algebraic Expressions
Answer: Simplify.
Distributive Property.
Answer:
Simplify
Simplify Algebraic Expressions
Do this one in your notes, PLEASE!!
173451 c
1713451 c
171
171 3451 c
c23
Answer: Use a calculator. different signs negative quotient
Evaluate if w = 2, x = –9.1 and y = 4.
Replace w with 2, x with –9.1 and y with 4.
Find the numerator and denominator separately.
Evaluate Algebraic Expressions
Evaluate if s = 2.3, t = 5 and u = –4.
Answer: –14.375
Evaluate Algebraic Expressions